Generalizations of the Lax-Milgram theorem

DOI10.1155/2007/87104zbMath1140.47303arXiv0805.4710OpenAlexW3104136212WikidataQ59214387 ScholiaQ59214387MaRDI QIDQ2472146

Dimosthenis Drivaliaris, Nikolaos G. Yannakakis

Publication date: 20 February 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4710

zbMATH Keywords

Dirichlet problemsingular differential equationsLax-Milgram theorem

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20) Multilinear and polynomial operators (47H60) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (6)

Existence theorem for noninstantaneous impulsive evolution equations ⋮ Extensions of the Lax-Milgram theorem to Hilbert \(C^*\)-modules ⋮ Functional inequalities motivated by the Lax-Milgram theorem ⋮ Weak imposition of constraints for structural membranes in transient geometrically nonlinear isogeometric analysis on multipatch surfaces ⋮ Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces ⋮ Variational formulation of a damped Dirichlet impulsive problem

Cites Work

• Unnamed Item
• Representation theorems in reflexive Banach spaces
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• The extension of bilinear functionals
• An Introduction to Banach Space Theory
• Lagrange multipliers for functions derivable along directions in a linear subspace

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